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3 years ago

WHAT IS THE DOMAIN OF f(x)=4^x

Mathematics

2 answers:

11111nata11111 [884]3 years ago

7 0

It is C , All real numbers !

True [87]3 years ago

5 0

C. "All real numbers"

because x can be anything, there are no restrictions.

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Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

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3) Function g

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Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

$\frac{f(b)-f(a)}{b-a}$

step 1

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Looking at the third picture (table)

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$f(b)=h(5)=16$

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$b=5$

Substitute

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step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

$f(a)=f(3)=10$

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Substitute

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step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

$g(x)=\frac{1}{5}(4)^x$

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$b=3$

Substitute

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therefore

In order from least to greatest according to their average rates of change over those intervals

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interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

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